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Finding the Third Proportional to 489,829 and 756,588

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Solution

The third proportional to 489,829 and 756,588 is: 1,168,622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,829 : 756,588 = 756,588 : x
  2. Step 2: Convert to fraction form
    489,829/756,588 = 756,588/x
  3. Step 3: Cross multiply
    489,829x = 756,588 × 756,588
  4. Step 4: Simplify right side
    489,829x = 572,425,401,744
  5. Step 5: Solve for x
    x = 572,425,401,744/489,829
  6. Step 6: Final answer
    x = 1,168,622.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.